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Finding the Fourth Proportional to 3,788.92, 5,683.27 and 1,708.44

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Solution

The fourth proportional to 3,788.92, 5,683.27 and 1,708.44 is: 2,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.92 : 5,683.27 = 1,708.44 : x
  2. Step 2: Convert to fraction form
    3,788.92/5,683.27 = 1,708.44/x
  3. Step 3: Cross multiply
    3,788.92x = 5,683.27 × 1,708.44
  4. Step 4: Simplify right side
    3,788.92x = 9,709,525.80
  5. Step 5: Solve for x
    x = 9,709,525.80/3,788.92
  6. Step 6: Final answer
    x = 2,562.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.